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10169141180 = 2251163737253
BaseRepresentation
bin10010111100010000…
…01100011110111100
3222020201000220012112
421132020030132330
5131311300004210
64401023553152
7510000162632
oct113610143674
928221026175
1010169141180
114349240310
121b7975b7b8
13c60a5b903
146c67d1352
153e7b6dd05
hex25e20c7bc

10169141180 has 48 divisors (see below), whose sum is σ = 23303445984. Its totient is φ = 3696779520.

The previous prime is 10169141167. The next prime is 10169141201. The reversal of 10169141180 is 8114196101.

10169141180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101691411802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1398434 + ... + 1405686.

It is an arithmetic number, because the mean of its divisors is an integer number (485488458).

Almost surely, 210169141180 is an apocalyptic number.

10169141180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10169141180 is an abundant number, since it is smaller than the sum of its proper divisors (13134304804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10169141180 is a wasteful number, since it uses less digits than its factorization.

10169141180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13646 (or 13644 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 32.

The spelling of 10169141180 in words is "ten billion, one hundred sixty-nine million, one hundred forty-one thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 6373 7253 12746 14506 25492 29012 31865 36265 63730 70103 72530 79783 127460 140206 145060 159566 280412 319132 350515 398915 701030 797830 1402060 1595660 46223369 92446738 184893476 231116845 462233690 508457059 924467380 1016914118 2033828236 2542285295 5084570590 10169141180